755808768 has 480 divisors, whose sum is σ = 2716826112. Its totient is φ = 199065600.

The previous prime is 755808689. The next prime is 755808787. The reversal of 755808768 is 867808557.

It is a happy number.

755808768 is a `hidden beast` number, since 7 + 558 + 0 + 87 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20427246 + ... + 20427282.

Almost surely, 2^755808768 is an apocalyptic number.

755808768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358413056).

755808768 is an abundant number, since it is smaller than the sum of its proper divisors (1961017344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

755808768 is a wasteful number, since it uses less digits than its factorization.

755808768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The square root of 755808768 is about 27491.9764294967. The cubic root of 755808768 is about 910.8998738442.

It can be divided in two parts, 75580 and 8768, that added together give a palindrome (84348).

The spelling of 755808768 in words is "seven hundred fifty-five million, eight hundred eight thousand, seven hundred sixty-eight".